λ
Ratio Atlas
Atlas › Integer Profiles › Node 459,759
459,759
3 × 331 × 463
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 331 × 463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 616,192
Proper Divisor Sum 156,433
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #459749 ← → #459763

Radix Representation

Decimal 459759
Binary 1110000001111101111 (19 bits)
Octal 0o1601757
Hexadecimal 0x703EF

Divisor Catalog (8)

1 3 331 463 993 1,389 153,253 459,759

Collatz Trajectory (213 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

459,759 1,379,278 689,639 2,068,918 1,034,459 3,103,378 1,551,689 4,655,068 2,327,534 1,163,767 3,491,302 1,745,651 5,236,954 2,618,477 7,855,432 3,927,716 1,963,858 981,929 2,945,788 1,472,894 736,447 2,209,342 1,104,671 3,314,014 1,657,007 4,971,022 2,485,511 7,456,534 3,728,267 11,184,802 5,592,401 16,777,204 8,388,602 4,194,301 12,582,904 6,291,452 3,145,726 1,572,863 4,718,590 2,359,295 7,077,886 3,538,943 10,616,830 5,308,415 15,925,246 7,962,623 23,887,870 11,943,935 35,831,806 17,915,903 53,747,710 26,873,855 80,621,566 40,310,783 120,932,350 60,466,175 181,398,526 90,699,263 272,097,790 136,048,895

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #459,758 Browse Full Index Next Integer #459,760 →